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Proof step 764 from proof overwrite-write-page-clean (previous step)

files[ino0] = mkfile(m4, md1, m5, content1), ((files ⊕ pcache) ⊕ icache)[ino] = mkfile(m0, md, m1, content), files[ino] = mkfile(m2, md0, m3, content0), datakey(ino, n) ∈ pcache, n ∈ content0, ino ∈ files, ino0 ∈ files, ino ∈ icache, datakey(ino, n) ∈ pcache[datakey(ino, m), mkpentry(false, buf)], datakey(ino0, m) ∈ pcache ⊦ n ∈ content1 ⊕ mkcontent(ino0, pcache) ↔ n ∈ content1 ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)]), n = m, ino0 ∈ icache

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 765:
files[ino] = mkfile(m2, md0, m3, content0), ((files ⊕ pcache) ⊕ icache)[ino] = mkfile(m0, md, m1, content), files[ino0] = mkfile(m4, md1, m5, content1), datakey(ino0, m) ∈ pcache, datakey(ino, n) ∈ pcache[datakey(ino, m), mkpentry(false, buf)], ino ∈ icache, ino0 ∈ files, ino ∈ files, n ∈ content0, datakey(ino, n) ∈ pcache, m ∈ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)]) ⊦ n ∈ content1 ⊕ mkcontent(ino0, pcache) ↔ n ∈ content1 ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)]), n = m, ino0 ∈ icache

Rule argument

fma: m ∈ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)])

Additional information

Used simplifier rules: in-mkcontent: ⊦ n ∈ mkcontent(ino, pcache) ↔ datakey(ino, n) ∈ pcache;% ⊦ key ∈ pcache[key0, pe] ↔ key = key0 ∨ key ∈ pcache; (ws) Used formulas: m ∈ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)])